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Finding the Fourth Proportional to 269.74, 403.82 and 205.00

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Solution

The fourth proportional to 269.74, 403.82 and 205.00 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.74 : 403.82 = 205.00 : x
  2. Step 2: Convert to fraction form
    269.74/403.82 = 205.00/x
  3. Step 3: Cross multiply
    269.74x = 403.82 × 205.00
  4. Step 4: Simplify right side
    269.74x = 82,781.07
  5. Step 5: Solve for x
    x = 82,781.07/269.74
  6. Step 6: Final answer
    x = 306.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.